The Triangle and Its Properties Test

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The Triangle and Its Properties Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

A triangle with one right angle and two acute angles is called

A
right angled triangle

B
acute angled triangle

C
equilateral triangle

D
none of these

Solution

A triangle with a right angle and two acute angles is called right angled triangle.
Question 2
1 / -0

The triangle formed by $$BC = 5 \ cm, AC = 3 \ cm, AB = 5.8 \ cm$$ is:

A
a right angled $$\Delta $$

B
an isosceles $$\Delta $$

C
an equilateral $$\Delta $$

D
a scalene $$\Delta $$

Solution

Given three lengths of sides are different.
Also, the sides do not follow Pythagora's theorem.
So, it is a scalene triangle.
Option $$D$$ is correct.
Question 3
1 / -0

A triangle can have :

A
one right angle

B
two right angles

C
three obtuse angles

D
none of these

Solution

Right angled triangle is a type of a triangle where one angle is right angle.
By angle sum property, sum of angles of a triangle $$= 180^{o}$$
If two angles are right angles in a triangle, then according to angle sum property, third angle $$= 0^{o}$$
This is not possible for a triangle.
So, other two angles have to be acute angle.
$$A$$ is the answer.
Question 4
1 / -0

A triangle with the sides measuring $$5$$ cm, $$6$$ cm and $$4$$ cm is called:

A
an equilateral triangle

B
an isosceles triangle

C
a scalene triangle

D
none of the above

Solution

A triangle with three unequal sides is called scalene triangle.
So, option C is correct.
Question 5
1 / -0

In a right angled triangle, the other two angles are:

A
acute

B
obtuse

C
right

D
none of these

Solution

An acute angle is an angle smaller than a right angle $$(90^{o}$$ is called a right angle$$).$$ Hence, in a right angled triangle the other two angles are acute.
Question 6
1 / -0

A triangle with all 3 equal sides is called

A
isosceles

B
equilateral

C
scalene

D
none of these

Solution

An equilateral triangle is one in which all three sides and angles are equal.
So, $$B$$ is correct.
Question 7
1 / -0

The length of the hypotenuse of a right-angle triangle whose measure of two sides are 12 cm and
0.35 m is:

A
37 cm

B
3.72 cm

C
0.372 cm

D
37 m

Solution

$$0.35\, m\, =\, 0.35\, \times\, 100\, cm\, =\, 35\, cm$$
For a right angle triangle using Pythagorus theorem we get,
$$(Hypotenuse)^2\, =\, (side)^2\, +\, (side)^2$$
$$=\, (12)^2\, +\, (35)^2$$
$$= 144 + 1225$$
$$= 1369$$
$$Hypotenuse =$$ $$\sqrt{1369}\, =\, 37\, cm$$
Question 8
1 / -0

If two angles in a triangle are 75$$\displaystyle ^{\circ}$$ and 95$$\displaystyle ^{\circ}$$ then the third angle is__

A
30$$\displaystyle ^{\circ}$$

B
20$$\displaystyle ^{\circ}$$

C
10$$\displaystyle ^{\circ}$$

D
40$$\displaystyle ^{\circ}$$

Solution

Because by angle sum property, the sum of angles is $$180^o$$.
Let n be the third angle.
$$\therefore 75\displaystyle ^{\circ} $$+ 95$$\displaystyle ^{\circ} $$+ n = 180$$\displaystyle ^{\circ} $$
$$\displaystyle \Rightarrow $$ n =10$$\displaystyle ^{\circ} $$
$$\displaystyle \therefore $$ Third angle = 10$$\displaystyle ^{\circ} $$
Question 9
1 / -0

A triangle with one obtuse and two acute angles is called

A
right angled triangle

B
acute angled triangle

C
obtuse angled triangle

D
none

Solution

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.
The sum of angles in a triangle must be 180° and no triangle can have more than one obtuse angle.
So option C is the correct answer.
Question 10
1 / -0

Sum of the lengths of any two sides of a triangle is always ____ than the length of the third side.

A
less than

B
equal to

C
greater than

D
None of these

Solution

It is a property of a triangle that:
Sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

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Re-Attempt Weekly Quiz Competition

The Triangle and Its Properties Test - 7

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The Triangle and Its Properties Test - 7

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SHARING IS CARING

Question 1

right angled triangle

acute angled triangle

equilateral triangle

none of these

Solution

Question 2

a right angled $$\Delta $$

an isosceles $$\Delta $$

an equilateral $$\Delta $$

a scalene $$\Delta $$

Solution

Question 3

one right angle

two right angles

three obtuse angles

none of these

Solution

Question 4

an equilateral triangle

an isosceles triangle

a scalene triangle

none of the above

Solution

Question 5

acute

obtuse

right

none of these

Solution

Question 6

isosceles

equilateral

scalene

none of these

Solution

Question 7

37 cm

3.72 cm

0.372 cm

37 m

Solution

Question 8

30$$\displaystyle ^{\circ}$$

20$$\displaystyle ^{\circ}$$

10$$\displaystyle ^{\circ}$$

40$$\displaystyle ^{\circ}$$

Solution

Question 9

right angled triangle

acute angled triangle

obtuse angled triangle

none

Solution

Question 10

less than

equal to

greater than

None of these

Solution

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